Title: Domes over curves

Speaker: Igor Pak, UCLA

Date and time: 6pm (New York time), Tuesday, March 28, 2023

Place: WWH1314 (room 1314 Warren Weaver Hall, 251 Mercer Street)

...and on Zoom, details on the seminar mailing list

A closed polygonal curve is called integral if it is comprised of unit intervals. Kenyon's problem asks whether for every integral curve $γ$ in $\mathbb{R}^3$, there is a dome over $γ$, i.e. whether $γ$ is a boundary of a polyhedral surface whose faces are equilateral triangles with unit edge lengths. I will survey both positive and negative results on the subject.

Joint work with Alexey Glazyrin. The talk is aimed at a general audience.